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X and Y intercepts

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X-intercept: The point where a line crosses the x-axis. The coordinates are ( x, 0) where x is any number on the x-axis Y-intercept: The point where a line crosses the y-axis. The coordinates are ( 0, y) where y is any number on the y-axis

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x – intercept: ( 3, 0 ) y – intercept: ( 0, 5 )

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As we continue working on linear equations, you will need to be able to determine both x and y – intercepts We can determine BOTH the x and y – intercepts algebraically when given a linear equation in the standard form Ax + By = C

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Determine the x and y – intercepts for the equation: 5x + 2y = 30 -start by find the x – intercept. Think back to what the coordinates for the x – intercept are. ( x, 0 ) Since the coordinate for y is zero, we can substitute zero into our given equation in place of y!

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5x + 2(0) = 30 NOW SOLVE FOR x! 5x + 0 = 30 x = 6 The x – intercept is ( 6, 0 )

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Now determine the y-intercept! HOW?! Sub in zero in place of x 5(0) + 2y = 30 0 + 2y = 30 Y = 15 The y-intercept is ( 0, 15)

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YOUR TURN! Determine the x and y intercepts for the equation: 6x + y = 4 x – intercept: ( 2/3, 0 ) y – intercept: ( 0, 4 )

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